A wheel is spinning at 84 rad/s. It undergoes an angularacceleration of 46 rad/s

Question

A wheel is spinning at 84 rad/s. It undergoes an angularacceleration of 46 rad/s2 until it reaches an angularvelocity of 319 rad/s. A. Determine how long it took to spin up. ?? s B. Determine how many revolutions it made while spinningup. ?? revolutions A wheel is spinning at 84 rad/s. It undergoes an angularacceleration of 46 rad/s2 until it reaches an angularvelocity of 319 rad/s. A. Determine how long it took to spin up. ?? s B. Determine how many revolutions it made while spinningup. ?? revolutions

Explanation / Answer

Initlal angular speed w = 84 rad/s.
Angular acceleration = 46rad/s2 Final angular velocity w ' = 319 rad/s. A. time t= ( w ' - w ) /              = 5.108 s B. angular displacement = [ w ' ^ 2- w ^ 2 ]/ 2                                          = 1029.4 rad So, No. revolutions it made while spinning up = /2 = 163.83 rev

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